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Finding the Third Proportional to 83,962 and 129,983

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Solution

The third proportional to 83,962 and 129,983 is: 201,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,962 : 129,983 = 129,983 : x
  2. Step 2: Convert to fraction form
    83,962/129,983 = 129,983/x
  3. Step 3: Cross multiply
    83,962x = 129,983 × 129,983
  4. Step 4: Simplify right side
    83,962x = 16,895,580,289
  5. Step 5: Solve for x
    x = 16,895,580,289/83,962
  6. Step 6: Final answer
    x = 201,228.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.